One-loop running of dimension-six Higgs-neutrino operators and implications of a large neutrino dipole moment

TL;DR

This paper calculates how certain Higgs-related operators evolve with energy in the Standard Model effective field theory, especially considering large neutrino magnetic moments, and explores their experimental implications.

Contribution

It provides the one-loop renormalization group equations for dimension-six Higgs-neutrino operators and analyzes the impact of large neutrino magnetic moments on Higgs and Z invisible decays.

Findings

Neutrino magnetic moments can induce extremely suppressed Higgs and Z invisible decays.

The predicted decay branching ratios are too small for current or near-future detection.

Large neutrino magnetic moments have minimal observable effects on Higgs and Z decays.

Abstract

We compute the one-loop running of the dimension-six CP-even Higgs operators in the Standard Model effective field theory involving the right-handed component of the would-be Dirac neutrinos. We discuss the implications of a large Dirac neutrino magnetic dipole moment. In particular, we demonstrate that a neutrino magnetic moment explaining the recent XENON1T excess induces Higgs and $Z$ invisible decays with branching ratios in the range $[10^{-18}, 10^{-12}]$. These numbers are unfortunately beyond the reach of current and near future facilities.